What is the Least Common Multiple of 79408 and 79424?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 79408 and 79424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79408 and 79424, than apply into the LCM equation.

GCF(79408,79424) = 16
LCM(79408,79424) = ( 79408 × 79424) / 16
LCM(79408,79424) = 6306900992 / 16
LCM(79408,79424) = 394181312

Least Common Multiple (LCM) of 79408 and 79424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79408 and 79424. First we will calculate the prime factors of 79408 and 79424.

Prime Factorization of 79408

Prime Factorization of 79424

Now multiplying the highest exponent prime factors to calculate the LCM of 79408 and 79424.

LCM(79408,79424) = 2⁶ × 7¹ × 709¹ × 17¹ × 73¹
LCM(79408,79424) = 394181312